Application of certain Third-order Non-linear Neutral Difference Equations in Robotics Engineering [PDF]
, 2021 S. Sindhuja +4 more
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On the dynamical behaviors and periodicity of difference equation of order three
Journal of New Results in Science, 2022 The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;
Elsayed Elsayed, Ibraheem Alsulami
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Global asymptotic properties of third-order difference equations
Computers & Mathematics with Applications, 2004 The nonoscillatory solutions of \(\Delta(p_n\Delta(r_n\Delta x_n))+ q_n f(x_{n+p})= 0\), \(p\in \{0,1,2\}\), are classified under suitable conditions. In the case \(p= 1\) their generalized zeros and asymptotic properties are described by means of an energy function.
Došlá, Z., Kobza, A.
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Numerical Investigation of the Steady State of a Driven Thin Film Equation
Journal of Applied Mathematics, 2013 A third-order ordinary differential equation with application in the flow of a thin liquid film is considered. The boundary conditions come from Tanner's problem for the surface tension driven flow of a thin film.
A. J. Hutchinson, C. Harley, E. Momoniat
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Oscillation of nonlinear third-order difference equations with mixed neutral terms [PDF]
, 2021 Jehad Alzabut +2 more
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A detailed study on a solvable system related to the linear fractional difference equation
Mathematical Biosciences and Engineering, 2021 In this paper, we present a detailed study of the following system of difference equations $ \begin{equation*} x_{n+1} = \frac{a}{1+y_{n}x_{n-1}}, \ y_{n+1} = \frac{b}{1+x_{n}y_{n-1}}, \ n\in\mathbb{N}_{0}, \end{equation*} $ where the parameters ...
Durhasan Turgut Tollu +3 more
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Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences [PDF]
Opuscula Mathematica, 2006 In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this ...
Ewa Schmeidel
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Nonlinear Analysis, 2014 A new explicit conditionally consistent finite difference scheme for one-dimensional third-order linear pseudoparabolic equation with nonlocal conditions is constructed.
Justina Jachimavičienė +3 more
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Revisiting Samuelson’s models, linear and nonlinear, stability conditions and oscillating dynamics
Journal of Economic Structures, 2021 In this work, we reconsider the dynamics of a few versions of the classical Samuelson’s multiplier–accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order
Fabio Tramontana, Laura Gardini
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Disconjugacy for a third order linear difference equation
Computers & Mathematics with Applications, 1994 The third order linear difference equation (1) \(\Delta^ 3 y(t-1) + p(t) \Delta y(t) + q(t)y(t) = 0\) \((t \in \{a + 1, \dots, b + 1\})\) is considered. A function \(y : \{a, \dots, b + 3\} \to \mathbb{R}\) is said to have a generalized zero at \(a\) if \(y(a) = 0\) and it is said to have a generalized zero at \(t_ 0 > a\) provided either \(y(t_ 0) = 0\
Henderson, J., Peterson, A.
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